Problem stringlengths 5 967 | category class label 6
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a train 320 m in length crosses a telegraph post in 12 seconds . the speed of the train is ? | 1physics |
12 + 13 + 14 + . . . 51 + 52 + 53 + 54 = ? | 0general |
2 x + y = 13 | y | < = 13 for how many ordered pairs ( x , y ) that are solutions of the system above are x and y both integers ? | 0general |
mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month . if mary ' s savings by the end of the year from these monthly savings were 7 times the amount she spent per month , what should be the fraction of her salary that she spent each month ? | 0general |
what is the total number of integers between 20 and 70 that are divisible by 2 ? | 0general |
9 men went to a hotel . 8 of them spent 3 each over their meals and the ninth spent 5 more than the average expenditure of all the 9 . the total money spent by all of them was | 0general |
when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 4 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? | 0general |
find the value of 72519 x 9999 = m . | 0general |
john bought 9.25 m of cloth for $ 444 . find the cost price per metre . | 1physics |
an woman swims downstream 81 km and upstream 36 km taking 9 hours each time ; what is the speed of the current ? | 1physics |
an escalator moves towards the top level at the rate of 11 ft . sec and its length is 126 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length . | 2gain |
one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80,000 as total savings , how much has he saved in public provident fund ? | 0general |
what will be the cost of building a fence around a square plot with area equal to 49 sq ft , if the price per foot of building the fence is rs . 58 ? | 3geometry |
in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 11 years older than b , the present age of b is | 0general |
the area of a parallelogram is 200 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 3geometry |
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8210 / - . find out the amount that he borrowed . | 2gain |
in a 200 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is : | 1physics |
find the l . c . m of 2 / 15 , 3 / 10 , 6 / 5 | 1physics |
a horse chases a pony 3 hours after the pony runs . horse takes 4 hours to reach the pony . if the average speed of the horse is 35 kmph , what s the average speed of the pony ? | 1physics |
in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 150 marks , the no of questions he attempts correctly is : | 1physics |
the area of a square field is 900 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ? | 3geometry |
if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster , he would have covered 60 more miles than he actually did . how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ? | 1physics |
98 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ? | 2gain |
two numbers are respectively 17 % and 30 % more than a third number . the percentage that is first of the second is ? | 2gain |
16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 12 girls will take to construct ? | 1physics |
tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be ? | 5other |
one - third of 1206 is what percent of 400 ? | 2gain |
if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 60 minutes ? | 1physics |
1 / 3 rd of work is completed by kiran in 6 days . in how many days he can finish the remaining work ? | 1physics |
find the middle one when the sum of 3 consecutive even numbers is 57 ? | 1physics |
a number is increased by 20 % and then decreased by 20 % , the final value of the number is ? | 0general |
circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 10 more revolutions than gear p ? | 1physics |
find 18 / 6 * 4 | 0general |
if 2 x = 3 y = 10 , then 9 xy = ? | 0general |
the average of first 16 even numbers is ? | 0general |
if 5 a + 7 b = g , where a and b are positive integers , what is the largest possible value of g for which exactly one pair of integers ( a , b ) makes the equation true ? | 0general |
a worker earns $ 24 on the first day and spends $ 18 on the second day . the worker earns $ 24 on the third day and spends $ 18 on the fourth day . if this pattern continues , on which day will the worker first reach a net total of $ 48 ? | 1physics |
the length of the bridge , which a train 200 metres long and travelling at 60 km / hr can cross in 30 seconds , is ? | 1physics |
the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income ofq is : | 0general |
riya and priya set on a journey . riya moves eastward at a speed of 24 kmph and priya moves westward at a speed of 35 kmph . how far will be priya from riya after 45 minutes | 1physics |
0.009 / x = 0.01 . find the value of x | 0general |
if the mean of numbers 28 , x , 70 , 88 and 104 is 67 , what is the mean of 50 , 62 , 97 , 124 and x ? | 0general |
elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 10 of these pens for $ 42.00 , how many brand x pens did she purchase ? | 0general |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 9 hours and 16 hours respectively . the ratio of their speeds is : | 1physics |
if the speed of a man is 45 km per hour , then what is the distance traveled by him in 30 seconds ? | 1physics |
a participated in cycling contest and he drove the lap at the rate of 6 kmph , 12 kmph , 18 kmph , 24 kmph . . what is his average speed ? | 1physics |
a watch was sold at a loss of 20 % . if it was sold for rs . 520 more , there would have been a gain of 6 % . what is the cost price ? | 2gain |
total dinning bill for 5 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share | 0general |
kathleen can paint a room in 2 hours , and anthony can paint an identical room in 5 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ? | 1physics |
in a school of 320 students , 85 students are in the band , 200 students are on sports teams , and 60 students participate in both activities . how many students are involved in either band or sports ? | 5other |
if the cost price of 20 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ? | 2gain |
the positive numbers w , x , y , and z are such that x is 20 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? | 0general |
on the coordinate plane , points p and u are defined by the coordinates ( - 1,0 ) and ( 3,3 ) , respectively , and are connected to form a chord of a circle which also lies on the plane . if the area of the circle is ( 25 / 4 ) π , what are the coordinates of the center of the circle ? | 3geometry |
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.25 km respectively . the time taken by the slower train to cross the faster train in seconds is ? | 1physics |
paul and jack are 2 mechanics who work 8 hours per day changing oil in cars at the oil spot . if paul can change oil in 2 cars per hour , and jack can change oil in 3 cars per hour . what is the least number of cars per work day the 2 men can finish ? | 1physics |
the edge of three cubes of metal is 3 dm , 4 dm and 5 dm . they are melted and formed into a single cube . find the edge of the new cube ? | 3geometry |
if a farmer sells 5 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 10 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ? | 0general |
if a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius , then surface area of each ball ( in cm 2 ) is ? | 3geometry |
at the end of the month , a certain ocean desalination plant ’ s reservoir contained 26 million gallons of water . this amount is eighth the normal level . if this amount represents 65 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? | 2gain |
if t = 5 / 9 * ( k - 32 ) , and if t = 20 , then what is the value of k ? | 0general |
someone on a skateboard is traveling 10 miles per hour . how many feet does she travel in 20 seconds ? ( 1 mile = 5280 feet ) | 1physics |
a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 8 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? | 3geometry |
at the end of the first quarter , the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 75 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ? | 2gain |
solve : 18800 + 470 + 20 | 0general |
how many even integers n , such that 20 < = n < = 240 are of the form 3 k + 4 , where k is any natural number ? | 0general |
a person crosses a 600 m long street in 2 minutes . what is his speed in km per hour ? | 1physics |
a train ride from two p to town q costs $ 2.35 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.85 . what is the cost of a bus ride from town p to town q ? | 0general |
in a can , there is a mixture of milk and water in the ratio 5 : 3 . if the can is filled with an additional 8 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? | 0general |
in what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way ? | 1physics |
a 50 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ? | 1physics |
an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 46 meters . how many times did the ball bounce ? | 0general |
( 786 × 74 ) ÷ ? = 1938.8 | 0general |
in a 100 m race between rose and diane , rose lost to diane by 0.75 m . if diane was given a 7 m head start , how many meters more will it take before rose overtakes diane ? | 1physics |
if ramola ranks 14 th in a class of 26 , what is her rank from the last ? | 5other |
the ratio of three numbers is 1 : 2 : 5 and the sum of their squares is 4320 . the sum of the numbers is ? | 5other |
the average salary per head of the entire staff of an office including the officers and clerks is rs . 90 . the average salary of officers is rs . 600 and that of the clerks is rs . 84 . if the number of officers is 2 , find the number of officers in the office ? | 0general |
the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? | 3geometry |
100 × 10 – 100 + 2000 ÷ 100 = ? | 0general |
what percent is 1 gm of 1 kg ? | 2gain |
the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8700 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? | 0general |
one pump drains one - half of a pond in 5 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ? | 1physics |
if a jogger jogs 16 km / hr instead of 12 km / hr , he would have jogged 10 km more . the actual distance he jogged is | 0general |
when a certain number x is divided by 84 , the remainder is 25 . what is the remainder when x is divided by 14 ? | 0general |
how many multiples of 100 are there between 100 and 1000 ( both are inclusive ) ? | 5other |
a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 50 % ? | 2gain |
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 7500 , what was the number of valid votes that the other candidate got ? | 2gain |
a and b can do a piece of work in 30 days , while b and c can do the same work in 24 days and c and a in 20 days . they all work together for 10 days when b and c leave . how many days more will a take to finish the work ? | 1physics |
the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is | 5other |
if it takes a tub 2 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? | 0general |
the true discount on a bill due 9 months hence at 16 % per annum is rs . 210 . the amount of the bill is | 2gain |
how many numbers between 100 and 630 are divisible by 2 , 3 , and 7 together ? | 0general |
a and b together can complete a work in 12 days . a alone can complete it in 20 days . if b does the work only for half a day daily , then in how many days a and b together will complete the work ? | 1physics |
marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 25 % . what percent of the projected revenue was the actual revenue ? | 0general |
what is the tens digit of 7 ^ 1033 ? | 0general |
country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 360 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? | 0general |
a man is walking at the rate of 6 km / hr crosses a bridge in 15 minutes . the length of the bridge is | 2gain |
2 minute is taken to travel the diagonal of square field at 3 km / hour . calculate the area of field ? | 3geometry |
a 400 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 30 seconds . what is the length of the platform ? | 1physics |
a and b complete a work in 8 days . a alone can do it in 14 days . if both together can do the work in how many days ? | 1physics |
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 27 , what is the value of r - p ? | 0general |
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